Question $3$: A government of Canada $364-$day T$-$bill with a face value $($maturity value$)$ of $$100,000$ waspurchased on the issue date of March $3$rd$,2024,$ at a yield $($market rate$)$ of $4\mathrm{.}71\%.$a$)$ What was the purchase price of the T$-$bill?b$)$ The T$-$bill was sold on October $15$th$,2024,$ for $$98,100\mathrm{.}98.$ Determine the yield rate on October $15$th$.$c$)$ Determine the amount of profit earned by the seller.d$)$ Determine the rate of return realized by the seller over this holding period